Finite Group Databasebeta

← Group #295172

Character table — Group #295172

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444444448888888822444444448888888824
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-111111111-111-1-1-11-1-11-1-1-1-1-1-1-1-111
χ6111111111111111111111-1-1-1-111111111-1-1-111-1-111-1-1-1-1-11111-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1111111111-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11111-1-1-1-111
χ911111111-1-11-1-1-1-111111-111111111-1-1-1-1-1111-1-1-11-1-111-1-111-1-11-1
χ1011111111-1-11-1-1-1-111111-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-11
χ1111111111-1-11-1-1-1-111111-11111-1-1-1-11111-1111-1-1-11-1-1-1-111-1-111-11
χ1211111111-1-11-1-1-1-111111-11111-1-1-1-11111-1-1-1-11-11-111-1-11111-1-11-1
χ1311111111-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-1111-111-1-11-1-1-111-1-1111-1
χ1411111111-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-11-1-11-1111-11-1-11111-1-1-11
χ1511111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-11111111-111-1-11-111-1-111-1-1-11
χ1611111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-111111-1-11-1111-1111-1-1-1-1111-1
χ1722222222222-2-2-2-2-2-2-2-22222-2-20000000020000-200000000000000
χ1822222222222-2-2-2-2-2-2-2-222-2-22200000000-20000200000000000000
χ192222222222-222-2-222-2-2-2-200000000000002-2000-20020000000000
χ202222222222-222-2-222-2-2-2-20000000000000-22000200-20000000000
χ212222222222-2-2-222-2-222-2-20000000000000002200-2-200000000000
χ222222222222-2-2-222-2-222-2-2000000000000000-2-2002200000000000
χ2322222222-2-222222-2-2-2-22-222-2-200000000-20000200000000000000
χ2422222222-2-222222-2-2-2-22-2-2-2220000000020000-200000000000000
χ2522222222-2-2-222-2-2-2-222-220000000000000002-200-2200000000000
χ2622222222-2-2-222-2-2-2-222-22000000000000000-22002-200000000000
χ2722222222-2-2-2-2-22222-2-2-2200000000000002-2000200-20000000000
χ2822222222-2-2-2-2-22222-2-2-220000000000000-22000-20020000000000
χ2922-2-22-2-2200200002-22-2-202i−2i2i−2i000022-2-20000000000002i−2i000000
χ3022-2-22-2-2200200002-22-2-202i−2i2i−2i0000-2-222000000000000−2i2i000000
χ3122-2-22-2-2200200002-22-2-20−2i2i−2i2i000022-2-2000000000000−2i2i000000
χ3222-2-22-2-2200200002-22-2-20−2i2i−2i2i0000-2-2220000000000002i−2i000000
χ3322-2-22-2-220020000-22-22-202i−2i−2i2i22-2-2000000000000002i−2i00000000
χ3422-2-22-2-220020000-22-22-202i−2i−2i2i-2-22200000000000000−2i2i00000000
χ3522-2-22-2-220020000-22-22-20−2i2i2i−2i22-2-200000000000000−2i2i00000000
χ3622-2-22-2-220020000-22-22-20−2i2i2i−2i-2-222000000000000002i−2i00000000
χ37444-4-44-4-4000004i−4i00000000002-22-22i−2i2i−2i00000000000000000000
χ38444-4-44-4-4000004i−4i0000000000-22-22−2i2i−2i2i00000000000000000000
χ39444-4-44-4-400000−4i4i00000000002-22-2−2i2i−2i2i00000000000000000000
χ40444-4-44-4-400000−4i4i0000000000-22-222i−2i2i−2i00000000000000000000
χ4144-44-4-44-44i−4i0000000000000002-2-222i−2i−2i2i00000000000000000000
χ4244-44-4-44-44i−4i000000000000000-222-2−2i2i2i−2i00000000000000000000
χ4344-44-4-44-4−4i4i0000000000000002-2-22−2i2i2i−2i00000000000000000000
χ4444-44-4-44-4−4i4i000000000000000-222-22i−2i−2i2i00000000000000000000
χ4544-4-44-4-4400-400004-4-444000000000000000000000000000000000
χ4644-4-44-4-4400-40000-444-44000000000000000000000000000000000
χ474-4444-4-4-40004i−4i00000000000000000000000000000000002i−2i2-200
χ484-4444-4-4-40004i−4i0000000000000000000000000000000000−2i2i-2200
χ494-4444-4-4-4000−4i4i00000000000000000000000000000000002i−2i-2200
χ504-4444-4-4-4000−4i4i0000000000000000000000000000000000−2i2i2-200
χ518-88-8-8-888000000000000000000000000000000000000000000000
χ528-8-88-88-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).